To identify the wrong term in the sequence 52, 51, 48, 43, 34, 27, 16, we need to examine the pattern or rule governing the sequence. Let's calculate the differences between consecutive terms:
- 52 - 51 = 1
- 51 - 48 = 3
- 48 - 43 = 5
- 43 - 34 = 9
- 34 - 27 = 7
- 27 - 16 = 11
The differences are: 1, 3, 5, 9, 7, 11.
The sequence should ideally follow an arithmetic pattern. The differences calculated are not following a simple arithmetic rule. Let's re-evaluate our approach and try to spot a pattern:
- Observe every alternate difference: 1, 5, 7, 11.
Notice that 9 breaks this pattern since the ideal difference after 5 should be 7, and 7 is already present after 34, indicating an error there.
The incorrect element causing inconsistency in the pattern is the term before this difference, i.e., 34.
Therefore, the wrong term in the sequence is 34.